Open AccessApplication of the perturbation method to the problem of optimizing the transient process in a quasi-linear dynamic system
Author(s) -
А. И. Калинин,
Л. И. Лавринович
Publication year - 2022
Publication title -
doklady nacionalʹnoj akademii nauk belarusi
Language(s) - English
Resource type - Journals
eISSN - 2524-2431
pISSN - 1561-8323
DOI - 10.29235/1561-8323-2022-66-1-21-25
Subject(s) - perturbation (astronomy) , transient (computer programming) , process (computing) , mathematical optimization , mathematics , linear system , control theory (sociology) , transient response , computer science , engineering , mathematical analysis , physics , control (management) , quantum mechanics , artificial intelligence , electrical engineering , operating system
The problem of optimizing the transient process in a quasi-linear dynamic system with a performance index, being a linear combination of the energy costs and the process duration, is considered. Asymptotic approximations of a given order to the solution of this problem are constructed.